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Proof step 180 from proof onlymod-shift (previous step)

⊦ rk ∈ st → ( (∀ rk0. rk0 ∈ st[rk, val] ↔ rk0 ∈ st1) ∧ (∀ r0, sk. r0 ≠ r → (st[rk, val][r0 -- sk]) = st1[r0 -- sk]) ∧ (r -- _type ∈ st[rk, val] → (st[rk, val][r -- _type]) = st1[r -- _type]) ∧ (r -- _length ∈ st[rk, val] → (st[rk, val][r -- _length]) = st1[r -- _length]) ↔ onlyModified(r, st, st1[rk, st[rk]]) ∧ rk ∈ st1 ∧ (r ≠ rk .ref ∨ rk = r -- _length ∨ rk = r -- _type → st1[rk] = val))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]